An adult ticket to the show costs $2 more than a student ticket. The total cost of 3 student tickets and 2 adult tickets is $39.

How much does an adult ticket cost?

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

hope this help you

have a nice day/night

Answer:

The slope is 0.

Step-by-step explanation:

Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.

In this question:

Two points: (0,-20) and (1,-20)

Change in the output: -20 - (-20) = -20 + 20 = 0

Change in the input: 1 - 0 = 1

Slope: 0/1 = 0

The slope is 0.

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

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Answer:

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Quadratic equation has the form of:

Analyze the given equations and see which has the same form:

Answer:

x = 432.

Step-by-step explanation:

We know that 24 x 18 and x x 1 are in proportion, which can be written as:

(24 x 18) / (x x 1) = k, where k is a constant of proportionality.

Simplifying the left-hand side, we get:

24 x 18 = 432

x x 1 = x

Substituting these values, we get:

432 / x = k

To solve for x, we need to find the value of k. We can do this by using the fact that the two ratios are in proportion. That is:

24 x 18 : x x 1 = 432 : k

Simplifying the left-hand side, we get:

(24 x 18) / x = 432 / k

Multiplying both sides by x and k, we get:

24 x 18 k = 432 x

Dividing both sides by 24 x, we get:

18 k / 1 = 18

Solving for k, we get:

k = 1

Substituting k = 1 into the equation 432 / x = k, we get:

432 / x = 1

Multiplying both sides by x, we get:

432 = x

Therefore, x = 432.

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

Answer:

25

Step-by-step explanation:

Answer:

a=15

b=7

c=4

Step-by-step explanation:

\(\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }\)

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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If Linda saved $8.25, then Alex saved 98.25$.

What is a linear equation in two variables?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.

Let the amount saved by Alex be 'x $' and by Linda be 'y $',

Then by using the given condition,

                  x = y + 90

Linda saved 8.25$, which means y = 8.25.

                 x = 8.25 + 90

                 x = 98.25 $.

Hence, If Linda saved $8.25, then Alex saved 98.25$.

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Answer:

He has 47

Step-by-step explanation:

if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47

A: Looking at the last two rows of the table of f(x), the slope is simply (3-0)/(1-0) = 3, while the slope of g(x) is the coefficient of the variable x, which is 7.

B. y-int is the y value when x = 0. f(x) has a y-int of 0, which g(x) is 2. The latter has a greater y-int.

The average temperature in Saturn is 46° less than in Jupiter, then

Therefore the average temperature in Saturn is -208°F.

Answer:

11 remainder 2 sorry if it's wrong...

Step-by-step explanation:

60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2

Answer: Senior: $8, Child: 14

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

c = 14

3s + 14 = 38

3s = 24

s = 8

Answer:

Child=$14 Senior=$8

Step-by-step explanation:

Using variable concepts, it is found that:

In the rat experiment, it was concluded that the students influenced the rats behavior, hence:

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Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

Answer: 12

Thx for the points!

12

it won't let me just write the numbers

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

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Answer:

The appropriate null hypothesis is \(H_0: \mu = 22.6\)

The appropriate alternative hypothesis is \(H_1: \mu < 22.6\)

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

\(H_0: \mu = 22.6\)

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

\(H_1: \mu < 22.6\)

Answer: infinitely many solutions

Step-by-step explanation:

3x + 4y = -5 ... 1

6x + 8y = -10 ... 2

Take the second equation and divide by 2

3x + 4y = -10

As you can see, the two equations are exactly the same

So they have infinite solutions